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In this article, we propose a physical condition to extend interior isotropic solutions to anisotropic domains by gravitational decoupling in the framework of the Minimal Geometric Deformation approach. In particular, it is found that by…

General Relativity and Quantum Cosmology · Physics 2020-03-24 Gabriel Abellán , Angel Rincon , Ernesto Fuenmayor , Ernesto Contreras

We employ the minimal geometric deformation approach to gravitational decoupling (MGD-decoupling) in order to generate an exact anisotropic and non-uniform version of the ultracompact Schwarzschild star, or 'gravastar', proposed by Mazur…

General Relativity and Quantum Cosmology · Physics 2020-09-25 J. Ovalle , C. Posada , Z. Stuchlík

In this paper, we generate an exact anisotropic gravastar model using gravitational decoupling technique through minimal geometric deformation in the framework of $f(\Re, {T}^{2})$ gravity. This novel model explains an ultra-compact stellar…

General Relativity and Quantum Cosmology · Physics 2023-04-17 M. Sharif , Saba Naz

In the work, we present investigation on decoupling gravitational sources under the framework of $f(R,T)$ gravity. Basically the complete geometric deformation technique has been employed here which facilitates finding exact solutions to…

General Relativity and Quantum Cosmology · Physics 2024-03-21 S. K. Maurya , B. Mishra , Saibal Ray , Riju Nag

In this paper, we adopt minimal gravitational decoupling scheme to extend a non-static spherically symmetric isotropic composition to anisotropic interior in…

General Relativity and Quantum Cosmology · Physics 2023-08-03 M. Sharif , Tayyab Naseer

In this study, we developed the geometrically deformed compact objects in the $f(Q, T)$ gravity theory under an electric field through gravitational decoupling via. minimal geometric deformation (MGD) technique for the first time. The…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Sneha Pradhan , Sunil Kumar Maurya , Pradyumn Kumar Sahoo , Ghulam Mustafa

We analytically investigate a new family of horizonless compact objects in vector-tensor theories of gravity, called ultracompact vector stars. They are sourced by a vector condensate, induced by a non-minimal coupling with gravity. They…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Gianmassimo Tasinato

In our investigation, we pioneer the development of geometrically deformed strange stars within the framework of teleparallel gravity theory through gravitational decoupling via the complete geometric deformation (CGD) technique. The…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Sneha Pradhan , Piyali Bhar , Sanjay Mandal , P. K. Sahoo , Kazuharu Bamba

A deformed differential calculus is developed based on an associative star-product. In two dimensions the Hamiltonian vector fields model the algebra of pseudo-differential operator, as used in the theory of integrable systems. Thus one…

High Energy Physics - Theory · Physics 2020-12-16 I. A. B. Strachan

Whereas the nature of dark components in the Universe remains unknown, alternative models of gravity have been developed to offer a geometric explanation to the origin of such components. In this work we use the Minimal Geometric…

General Relativity and Quantum Cosmology · Physics 2020-04-03 Francisco X. Linares Cedeño , Ernesto Contreras

Owed to their compactness, neutron stars involve strong gravity and extreme density physics. Nevertheless, at present, there are a variety of problems where progress (at least conceptually) can be made in the context of weak gravity.…

General Relativity and Quantum Cosmology · Physics 2023-03-02 Nils Andersson , Fabian Gittins , Shanshan Yin , Rodrigo Panosso Macedo

Simple generic extensions of isotropic Durgapal--Fuloria stars to the anisotropic domain are presented. These anisotropic solutions are obtained by guided minimal deformations over a self gravitating isotropic system. When the isotropic and…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Luciano Gabbanelli , Ángel Rincón , Carlos Rubio

We employ the gravitational decoupling approach for static and spherically symmetric systems to develop a simple and powerful method in order to a) continuously isotropize any anisotropic solution of the Einstein field equations, and b)…

General Relativity and Quantum Cosmology · Physics 2019-10-11 R. Casadio , E. Contreras , J. Ovalle , A. Sotomayor , Z. Stuchlick

In this work, we construct stellar models ba-\break sed on the complexity factor as a supplementary condition which allows to close the system of differential equations arising from the Gravitational Decoupling. The assumed complexity is a…

General Relativity and Quantum Cosmology · Physics 2021-10-20 J. Andrade , E. Contreras

We establish a hierarchy of Euclidean stars according to their degree of complexity, as measured by the complexity factor and the complexity of the pattern of evolution. We consider both, nondissipative and dissipative systems. Solutions…

General Relativity and Quantum Cosmology · Physics 2025-10-01 L. Herrera , A. Di Prisco , J. Ospino

In this work we obtain an anisotropic neutron star solution by gravitational decoupling starting from a perfect fluid configuration which has been used to model the compact object PSR J0348+0432. Additionally, we consider the same solution…

General Relativity and Quantum Cosmology · Physics 2019-10-14 Victor Torres , Ernesto Contreras

We provide a higher dimensional extension of the gravitational decoupling method. This extended method allows to obtain new analytic and well behaved solutions that could be associated to higher dimensional stellar distributions.…

General Relativity and Quantum Cosmology · Physics 2019-04-25 Milko Estrada , Reginaldo Prado

Uniformly star superparacompactness, which is a topological property between compactness and completeness, can be characterized using finite-component covers and a measure of strong local compactness. Using these finite-component covers and…

General Topology · Mathematics 2025-05-02 Argha Ghosh

We propose a new doorway to study the interplay between equations of state of dense matter and compact stars in gauge/gravity correspondence. For this we construct a bulk geometry near the boundary of five-dimensional spacetime. By solving…

High Energy Physics - Phenomenology · Physics 2015-06-05 Kyung Kiu Kim , Youngman Kim , Ik Jae Shin

Let $F$ be a homogeneous polynomial in $S = \mathbb{C}[x_0,...,x_n]$. Our goal is to understand a particular polynomial decomposition of $F$; geometrically, we wish to determine when the hypersurface defined by $F$ in $\mathbb{P}^n$…

Algebraic Geometry · Mathematics 2012-04-13 Enrico Carlini , Elena Guardo , Adam Van Tuyl
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